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Simplifying 6x + -7x + -84 = 105 + -8x Reorder the terms: -84 + 6x + -7x = 105 + -8x Combine like terms: 6x + -7x = -1x -84 + -1x = 105 + -8x Solving -84 + -1x = 105 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -84 + -1x + 8x = 105 + -8x + 8x Combine like terms: -1x + 8x = 7x -84 + 7x = 105 + -8x + 8x Combine like terms: -8x + 8x = 0 -84 + 7x = 105 + 0 -84 + 7x = 105 Add '84' to each side of the equation. -84 + 84 + 7x = 105 + 84 Combine like terms: -84 + 84 = 0 0 + 7x = 105 + 84 7x = 105 + 84 Combine like terms: 105 + 84 = 189 7x = 189 Divide each side by '7'. x = 27 Simplifying x = 27
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